There will be excactly 400 fiction books. The ratio of fiction to all is 4 to 9, or 4 to 900.
Answer:
Step-by-step explanation:
1 in=2 ft
Bedroom 1
scale
17.5 in ×12.5in
actual
(17.5×2)×(12.5×2)
or
35 ft×25 ft
Living Room
scale
17.5 in×17.5 in
actual
35 ft×35 ft
Bathroom 1
scale
12.5 in×12.5 in
actual
25 ft×25 ft
Kitchen
scale
17.5 in ×12.5 in
actual
35 ft×35 ft
Bedroom2
scale
12.5 in ×12.5 in
actual
25 ft×25 ft
Entryway
scale
12.5 in×12.5 in
actual
25 ft×25 ft
Bathroom 2
scale
12.5 in×5 in
actual
25 ft×10 ft
Answer:
The minimum score required for the job offer is 751.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

What is the minimum score required for the job offer?
Top 14%, so the minimum score is the 100-14 = 86th percentile, which is X when Z has a pvalue of 0.86. So X when Z = 1.08.
Then




Rounding to the nearest whole number:
The minimum score required for the job offer is 751.
Answer:
sin(mod(π/2 -x, π) -π/2) . . . . except undefined at odd multiples of π/2
Step-by-step explanation:
The derivative of the modulus of the cosine function is the same as the derivative of the cosine function between cusps: -sin(x), for -π/2 < x < π/2.
There are many ways to make that pattern repeat with period π. one of them is this:
(d/dx)|cos(x)| = sin(mod(π/2 -x, π) -π/2) . . . . . except undefined at x=π/2+kπ, k any integer
___
The graph shows the modulus of the cosine function along with its derivative as computed by the graphing calculator and its derivative as defined above.